HELP LAST QUESTION
multiple the polynomials (3x^2 - 5x +7) and (2x^2 + x - 2) simply the answer

If a football team gained [tex]2\frac{3}{4}[/tex] yards and then lost [tex]4\frac{3}{5}[/tex] yards on the next play, then their total loss is  [tex]1\frac{17}{20}[/tex] yards

The total yards they gained in first match =  [tex]2\frac{3}{4}[/tex] yards

Convert the mixed fraction to the simple fraction

[tex]2\frac{3}{4}[/tex] yards = 11/4 yards

The total yards they loss in second match = [tex]4\frac{3}{5}[/tex] yards

Convert the mixed fraction to the simple fraction

[tex]4\frac{3}{5}[/tex] yards = 23/5 yards

Total loss = The total yards they loss in second match- The total yards they gained in first match

Substitute the values in the equation

Total loss = 23/5 - 11/4

= 37/20 yards

Convert the simple fraction to the mixed fraction

37/20 yards = [tex]1\frac{17}{20}[/tex] yards

Hence, If a football team gained [tex]2\frac{3}{4}[/tex] yards and then lost [tex]4\frac{3}{5}[/tex] yards on the next play, then their total loss is  [tex]1\frac{17}{20}[/tex] yards

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The smallest possible range of the chosen integers is; 2015

First of all, the range of a set of numbers is the difference between the largest and smallest numbers in the set.

The smallest range of a set of four different positive integers is 3. This occurs when the integers are consecutive, and only in this case. We first show that we cannot have four consecutive integers

with a mean of 2017.

Assume, to the contrary, that n is a positive integer such that the consecutive integers n, n + 1, n + 2 and n + 3 have 2017 as their mean.

Thus;

[n + n + 1 + n + 2 + n + 3]/4 = 2017

4n + 6 = 2017 * 4

n = 2015.5

Since n is an integer, then this can't be true. However, with a little tweaking of this, we can tell that we can use 2015 as our least integer.

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Question 1

[tex]2l+2w=48 \\ \\ 2l+20=48 \\ \\ 2l=28 \\ \\ l=14\text{ cm}[/tex]

Question 2

[tex]2l+7.2=48 \\ \\ 2l=40.8 \\ \\ l=20.4 \text{ cm}[/tex]

Question 3

[tex]2l+2w=48 \\ \\ l+w=24 \\ \\ w=24-l[/tex]

Answer:

hello!

your answer would be 258, because the y-intercept goes upwards.

:D have a good day <3

Answer:

  8 cups

Step-by-step explanation:

Given a recipe for trail mix that calls for 1 cup of nuts for each 2 cups of granola, you want to know the number of cups of granola required for 12 cups of trail mix.

The fraction of the total volume of trail mix that is granola is ...

  granola / (trail mix) = granola / (nuts + granola)

  (2 cups)/(1 cup +2 cups) = 2/3

Applied to the quantity 12 cups of trail mix, we find the volume of granola to be ...

  granola = (2/3)×(12 cups) = 8 cups

You need 8 cups of granola for 12 cups of trail mix.

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Answer:

Yes, the friend is correct.

Step-by-step explanation:

Twice a number of x is the same as saying multiply x by 2, which equals 2x. At most means 2x can only reach -24 at the very max, so solving for x will give you an answer that should only either be less than or equal to -24. This equation is an inequality because an inequality compares two values; in this case, the inequality is comparing 2x is at most -24, which is the same as saying 2x is less than or equal to -24.

When Jerry puts 1500 pounds in the bank for 5 years then the rate of interest which makes the amount equal for Jerry and Neil is 1.85%.

Given Neil puts 1550 pounds in the bank, at a rate of 3% compound interest.

we need to calculate the total amount and interest at the end of 5 years.

P=1500 pounds

r = 3%

n = 5 years.

A = P(1+r/100)ⁿ

A = 1500(1+3/100)⁵

A = 1500(103/100)⁵

A = 1500 × 103/100 × 103/100 × 103/100

A = 3278181/2000

A = 1639.09

C.I = A-P

= 1639.09 - 1500

= 139.09

From the question, After 5 years they have the same amount.

Therefore we use the amount to calculate rate of interest as :

A = 1639.09

Simple interest = 1639.09 - 1500

= 139.09

Therefore, P = 1500

I = 139.09

t = 5 yrs

R = (100×I)/(P×t)

R = (100×139.09)/(1500×5)

R = 1.85%

Hence the rate of interest is 1.85%.

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Answer: 11.78

Step-by-step explanation: So 11 would be your number before the decimal ( and stands for the decimal point ) then 78 would go after the decimal point.

Hope this helped!!!

The equation that can be used to determine the number of onion rings and the number of chicken wings are x + y = 19 and 40x + 75y = 970.

To verify a proportionality, that is, whether the quantities are proportional or not, we must make an equality of ratios. If these ratios are equal, the values ​​will be proportional.

Let x represent the number of onion ring and y represent the number of chicken wings.A combination meal with onion rings and chicken wings has a total of 19, hence:

x + y = 19      (1)

Also, they altogether contained 970 calories:

40x + 75y = 970     (2)

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The Graph of the Equation |x-1| +5 = 2 is attached below

This is further explained below.

Generally, An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value.

This is the most basic version of the definition of an equation in algebra. For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."

In conclusion, Please find attached the graph representing the equation "x-1 + 5 = 2."

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Answer:

Q14 = 45

Q15 = 1.98

Step-by-step explanation:

Q14.

2t = 90 degrees (right angle)

(1) t = 45 (90 ÷ 2)

45 + 8 = 53

45 - 12 = 33

Q15.

43s = 85 degrees

s = 1.98 (85 ÷ 43)

Considering the numeric values of the function, we have that:

a) S(0) represents the remaining number of socks after 0 pairs are sold, and S(6) represents the remaining number of socks after 6 pairs are sold.

b) S(0) = 14, S(6) = 12.

c) The domain is not all real numbers, as the remaining number of socks cannot be negative, hence the domain is of 0 ≤ p ≤ 7.

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value.

For this problem, the function is given as follows:

S(p) = 14 - 2p.

In which S(p) is the remaining number of socks after p socks are sold.

Then the numeric values are:

The domain of a function is the set that contains all possible input values of the function. The remaining number of socks cannot be negative, hence the domain is of 0 ≤ p ≤ 7, and the graph is given at the end of the answer.

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The problem formed can be:

And the answer to the formed problem will be 26 miles.

So, using the above-given information about Angela, the problem that can be formed is:

To solve the problem, we will make a mathematical expression and then solve by mathematical operations as follows:

Therefore, the problem formed can be:

And the answer to the formed problem will be 26 miles.

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Answer:

25 mph

Hope this helps! :)

Answer:

350%

Step-by-step explanation:

1) To convert a decimal to a percentage multiply the given decimal by 100. So,

3.5 x 100 = 350

2) 350% is the final answer

The definition based on the given biconditional is B. A polygon is a hexagon with six sides.

A conditional statement combined with its opposite is known as a biconditional statement. As a result, one conditional is only true if and when the other is also true. It frequently employs the phrase "if and only if" or the abbreviation "if." It serves as a reminder that the conditional must be true in both directions by using the double arrow.

The biconditional statement is that the polygon is a hexagon if and only if it has six sides.

Therefore, the correct option that illustrates this is B.

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Answer:

21

Step-by-step explanation:

If it loses 3 gallons every mile, then multiply it by 7.

3*7 = 21

Another way to solve this is by using linear equations

y=3x

replace x with 7 and y would be equal to 21

When x is made the subject of m= n+ x/p,

          x = mp - n

How is  x  made the subject of m = n +x/p ?

[tex]m = \frac{n+x}{p} \\\\mp = n+x\\\\mp -n = x\\\\x = mp-n[/tex]

How is x being made the subject?

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A: To make it more pumpkin-y, Pumpkin Puree or Pumpkin Spice. To make it less pumpkin-y, Banana, milk, or yogurt.

The most appropriate choice for Green's Theorem, Cauchy Riemann Equation and Cauchy Goursat Theorem will be given by-

Cauchy Goursat Theorem has been proved using Green's Theorem-

What is Green's Theorem, Cauchy Riemann Equation and Cauchy Goursat Theorem?

Green's Theorem

Let C be a positively oriented, piecewise smooth, simple closed curve in a plane, and let D be the region bounded by C. Then

Green's Theorem states that

[tex]\int_c (Mdx + Ndy)=\int_D(M_x - N_y)dxdy[/tex]

M and N are functions of x and y

Cauchy Goursat Theorem

If a function f is analytic at all points interior to and on a simple closed contour C, then

[tex]\int_c f(z) dz = 0[/tex]

Cauchy Riemann Equation

If [tex]f(z)=u(x,y) + i v(x,y)[/tex] is analytic at z = x + iy then Cauchy Riemann Equation states that

[tex]u_x = v_y, u_y = -v_x[/tex]

Here,

Let [tex]f(z) = U(x,y) + iV(x,y)[/tex]

[tex]U, V, x, y[/tex] are continuous

[tex]f(z)dz = (U + i V)(dx + i dy)[/tex]

[tex]f(z) dz = (U dx - Vdy)+i(Vdx + Udy)[/tex]

[tex]\int_c f(z) dz = \int_c(U dx - Vdy)+i\int_c(Vdx + Udy)[/tex], C is the curve

By Green's Theorem,

[tex]\int_c f(z)dz = \int_D(U_ydydx - V_xdxdy)+i\int_D(U_xdxdy + V_ydydx)[/tex], D is the surface

[tex]\int_c f(z)dz = \int_D(-U_y - V_x)dxdy+i\int_D(U_x - V_y)dxdy[/tex][tex]\int_c f(z)dz = \int_D(V_x - V_x)dxdy+i\int_D(U_x - U_x)dxdy[/tex]

Since [tex]f'[/tex] is continuous, [tex]f[/tex] is analytic

So [tex]f[/tex] satisfies Cauchy Riemann equation

[tex]U_x = V_y, U_y = -V_x[/tex]

So,

[tex]\int_c f(z)dz = \int_D(V_x - V_x)dxdy+i\int_D(U_x - U_x)dxdy[/tex]

[tex]\int_c f(z)dz = 0[/tex]

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Complete Question

Suppose f is continuously complex differentiable on Ω , and T⊂Ω is a triangle whose interior is also contained in Ω . Apply Green's theorem to show that

[tex]\int_T[/tex] f(z)dz=0

This provides a proof of goursat’s theorem under the additional assumption that f′ is continuous.

.

Answer:

Step-by-step explanation:

Answer:

48484

Step-by-step explanation:

47rururiuddjdjdjdjdjdjfifiififififfififiduududdidikddkkfdkdkdkdkdkdiriiritifififjfjfjfjfjrjrjrjfififirififjfjfifififififififififififififififififififififirirjjrririi

Answer:

£32

Explanation:

so 1/5 = 0.2

to make 0.2 a percent just multiply by 100 so 0.2 • 100 = 20%

so the discount would be 20%, meaning the game holds 80% of its value since

100-20 = 80

so to make 80% a decimal, divide by 100 so 80/100 = 0.8

so then you just multiply: 40 • 0.8 = 32

so the game is £32

hope this helps :)

The price of the computer game on sale is  £32.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, The normal price of a computer game is £40.

The price is reduced by 1/5 in a sale.

∴ The price of the computer game on discount can be obtained if we subtract the fraction of the discount times the normal price from the normal price which is,

= {(40 - (1/5)×40}.

= {40 - 8}.

= £32.

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The 3 : 7 ratio of the leg lengths and the 42 cm length of the hypotenuse side using Pythagorean theorem, gives the lengths of the sides (the legs of the right triangle) as follows;

[tex]147 \cdot \sqrt{ \frac{2}{29} } [/tex] and [tex] 63 \cdot \sqrt{ \frac{2}{29} }[/tex]

Pythagorean theorem states the square that has the hypotenuse of a right triangle as its side length is equal in area to the sum of the areas of the two squares formed by legs of the right triangle.

Given;

The possible given parameters are;

The ratio of the length of the sides (the legs) of the triangle is 3 : 7

The length of the hypotenuse side = 42 cm

Required: The lengths of the other two sides of the triangle

Solution;

The lengths of the two sides are found as follows;

Let a and b represent the lengths of the legs of the right triangle, according to Pythagorean theorem, we have;

a² + b² = 42²

The ratio of the leg lengths gives;

a/b = 3/7

Therefore;

a = (3/7)•b

Which gives;

((3/7)•b)² + b² = 42²

b²•((3/7)² + 1) = 42²

b = 42²/(((3/7)² + 1)) = 42²×(58/49)

[tex]b = 147 \cdot \sqrt{ \frac{2}{29} } [/tex]

Which gives;

[tex]a =\frac{3}{7} \times 147 \cdot \sqrt{ \frac{2}{29} }= 63 \cdot \sqrt{ \frac{2}{29} }[/tex]

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Answer:

2/5--1/4=3

Step-by-step explanation:

lcm is 20 =8-5=3/20=3 =20

Answer:

n = 5

Step-by-step explanation:

Any 3-digit number to the base n will have its rightmost digit have a place value of n⁰, its next rightmost digit a place value of n¹ and the leftmost digit will have a place value of n²

This means 133can be represented as follows
n²     n¹     n⁰

1       3      3

The actual value in terms of a base of 10

= 3 x n⁰ + 3  x n¹   + 1 x n²

= 3 x 1 + 3 x n + 1 x n²      (n⁰ = 1 and n¹ = n)

= 3 + 3n + 1n²

Since we are given the information that 133ₙ = 43₁₀
3 + 3n + 1n²  = 43

subtract 3 from both sides
3n + 1n² = 40

Rewrite as

n² + 3n = 40

Factoring n on the left side=>
n(n + 3) = 40

If we look at the factors of 40:
1 x 40

2 x 20

4 x 10

5 x  8

5 and 8 satisfy the condition n(n + 3) = 40

So n = 5

Answer: no idea

Step-by-step explanation: